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Chapter 4: Q55. (page 166)

Solve each system by using substitution or elimination.

a+5b=17a鈭�2b=44

Short Answer

Expert verified

The solution of the system of equations: a+5b=17a鈭�2b=44 is 6,-1.

Step by step solution

01

- Solve the first equation for a in terms of b

Write the first equation a+5b=1for a in terms of b.

a+5b=1a+5b鈭�5b=1鈭�5ba=1鈭�5b

02

- Solve for b

Substitute 1-5b for a into equation 7a-2b=44 so as to obtain the value of b.

71鈭�5b鈭�2b=4471鈭�75b鈭�2b=447鈭�35b鈭�2b=447鈭�37b鈭�7=44鈭�7鈭�37b=37b=鈭�1

03

- Solve for a

Now substitute -1 for b into either original equation and solve for a.

a+5鈭�1=1a鈭�5+5=1+5a=6

Therefore, the solution of the system is 6,-1.

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